Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24684k |
Isogeny class |
Conductor |
24684 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-45070537712124672 = -1 · 28 · 312 · 117 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11- 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11293,10220879] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:3267:1] |
Generators of the group modulo torsion |
j |
-351232000/99379467 |
j-invariant |
L |
7.0056654558182 |
L(r)(E,1)/r! |
Ω |
0.29259251051266 |
Real period |
R |
0.99764251249736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98736ce1 74052e1 2244b1 |
Quadratic twists by: -4 -3 -11 |